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4104032832 = 26351719243
BaseRepresentation
bin1111010010011110…
…1001001001000000
3101121000110110200000
43310213221021000
531401113022312
61515123400000
7203462463204
oct36447511100
911530413600
104104032832
11181668a679
12966523000
135053479c3
142ad0b4b04
15190474adc
hexf49e9240

4104032832 has 504 divisors, whose sum is σ = 13949391456. Its totient is φ = 1191407616.

The previous prime is 4104032797. The next prime is 4104032873. The reversal of 4104032832 is 2382304014.

It is a super-2 number, since 2×41040328322 = 33686170972267880448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4104032796 and 4104032805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95442603 + ... + 95442645.

It is an arithmetic number, because the mean of its divisors is an integer number (27677364).

Almost surely, 24104032832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974695728).

4104032832 is an abundant number, since it is smaller than the sum of its proper divisors (9845358624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4104032832 is a wasteful number, since it uses less digits than its factorization.

4104032832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4104032832 is about 64062.7257615534. The cubic root of 4104032832 is about 1601.0452586644.

Adding to 4104032832 its reverse (2382304014), we get a palindrome (6486336846).

The spelling of 4104032832 in words is "four billion, one hundred four million, thirty-two thousand, eight hundred thirty-two".